Answer:
2/7
Step-by-step explanation:
There are <em>seven days in the week</em>, out out of those, <em>Sunday and Saturday</em> start with S. So, the probability is <em>2 out of 7</em>, or 2/7.
Answer:
a. 43.96 feet
b.153.86 square feet
Step-by-step explanation:
Hi, the path through the middle of the circular garden is the diameter.
Since the diameter is equal to:
Diameter = 2 radius (r)
Solving for r
14 =2r
14/2 = r
r = 7 feet
The distance around the outside of this garden is the perimeter.
Perimeter of a circle (P) = 2 π r
Replacing with the values given:
P = 2 (3.14) 7 = 43.96 feet
b. area of the circle-
Area of a circle (A)= π r²
Replacing with the values given:
A = 3.14 (7²) =153.86 square feet
Step-by-step explanation:
the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.
and that applies to all 3 vertexes.
so, we know for the top left vertex the distance to both touching points is 4.
that means the distance to the touching points from the bottom left vertex is 7-4 = 3.
and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.
so, x = 13
it is the distance to one of the touching points for the bottom right vertex.
and the perimeter of the triangle is therefore
7 + 16 + (13 + 4) = 40
Answer:
x = -7 2/3, y = 1 1/3 and z = 5 1/3.
Step-by-step explanation:
2x+4y+3z=6 ..... 1
x-2y+z=-5 ...... 2
-x-3y-2z=-7 .......3
Add equations 2 and 3 to eliminate x:
-5y - z = -12 .....4
Multiply equation 2 by - 2:
-2x + 4y - 2z = 10
Add this to equation 1:
8y + z = 16 ........ 5
Now add equation 4 to equation 5:
3y = 4
y = 4/3 = 1 1/3.
Now find z by substituting for y in equation 4:
-5(4/3) - z = -12
z = 12 - 20/3
z = 36/3 - 20/3 = 16/3 = 5 1/3.
Finally, we find x by substituting for y and z in equation 1:
2x + 4*4/3 + 3*16/3 = 6
2x = 6 - 16/3 - 16
2x = 18/3 - 16/3 - 48/3 = -46/3
x = 23/3 = 7 2/3.
